| Publication | Date of Publication | Type |
|---|
| Quantum geodesics in quantum mechanics | 2024-02-07 | Paper |
| Quantum jet bundles | 2024-01-10 | Paper |
| Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model | 2023-12-21 | Paper |
| Quantum geodesic flows on graphs | 2023-12-17 | Paper |
| Algebraic aspects of boundaries in the Kitaev quantum double model | 2023-12-12 | Paper |
| Quantum Kaluza-Klein theory with \(M_2(\mathbb{C})\) | 2023-10-25 | Paper |
| Quantum geodesic flow on the integer lattice line | 2023-09-26 | Paper |
| Quadratic algebras associated to permutation idempotent solutions of the YBE | 2023-08-22 | Paper |
| Quantum geodesic flows and curvature | 2023-07-19 | Paper |
| Quantum Riemannian geometry of the discrete interval and q-deformation | 2023-06-07 | Paper |
| Quantum geometry of Boolean algebras and de Morgan duality | 2023-05-23 | Paper |
| Bisections and cocycles on Hopf algebroids | 2023-05-21 | Paper |
| Quantum double aspects of surface code models | 2023-03-20 | Paper |
| Dirac operator associated to a quantum metric | 2023-02-12 | Paper |
| Quantum geodesics on quantum Minkowski spacetime | 2023-02-07 | Paper |
| Digital finite quantum Riemannian geometries | 2023-01-10 | Paper |
| Quantum and braided ZX calculus* | 2022-11-17 | Paper |
| Geometric Dirac operator on noncommutative torus and $M_2(\Bbb C)$ | 2022-08-16 | Paper |
| Quantum gravity on finite spacetimes and dynamical mass | 2022-06-05 | Paper |
| Geometric Dirac operator on the fuzzy sphere | 2022-03-02 | Paper |
| Quantum geodesics on $\lambda$-Minkowski spacetime | 2021-12-22 | Paper |
| Fuzzy and discrete black hole models* | 2021-11-05 | Paper |
| Quantum gravity on polygons and R×Zn FLRW model * | 2021-11-02 | Paper |
| Quantum Riemannian geometry and particle creation on the integer line | 2021-10-28 | Paper |
| Quantum gravity on a square graph | 2021-10-28 | Paper |
| On the emergence of the structure of physics | 2021-10-04 | Paper |
| Planar spider theorem and asymmetric Frobenius algebras | 2021-09-24 | Paper |
| Quantum gravity and Riemannian geometry on the fuzzy sphere | 2021-05-07 | Paper |
| Poisson principal bundles | 2021-05-03 | Paper |
| Geometric Dirac operator on the fuzzy sphere | 2021-04-26 | Paper |
| Quantum and braided ZX calculus | 2021-03-11 | Paper |
| Digital quantum groups | 2020-12-17 | Paper |
| Quantum differentials on cross product Hopf algebras | 2020-09-01 | Paper |
| Reconstruction and quantization of Riemannian structures | 2020-05-22 | Paper |
| Finite noncommutative geometries related to \(\mathbb{F}_p[x\)] | 2020-05-14 | Paper |
| Quantum geometry, logic and probability | 2020-02-26 | Paper |
| Generalised noncommutative geometry on finite groups and Hopf quivers | 2019-12-27 | Paper |
| Quantum Riemannian Geometry | 2019-10-08 | Paper |
| Co-double bosonisation and dual bases of \(c_q[SL_2\) and \(c_q[SL_3]\)] | 2018-12-07 | Paper |
| Smooth dense subalgebras and Fourier multipliers on compact quantum groups | 2018-09-13 | Paper |
| Quantum Koszul formula on quantum spacetime | 2018-05-09 | Paper |
| Classification of digital affine noncommutative geometries | 2018-04-16 | Paper |
| Quantum Bianchi identities via DG categories | 2018-04-11 | Paper |
| Lie theory of finite simple groups and the Roth property | 2017-09-28 | Paper |
| Spectral triples from bimodule connections and Chern connections | 2017-08-08 | Paper |
| Non-commutative Differential Geometry | 2017-07-24 | Paper |
| Noncommutative spherically symmetric spacetimes at semiclassical order | 2017-07-24 | Paper |
| Hodge star as braided Fourier transform | 2017-07-21 | Paper |
| Quantum Riemannian geometry of phase space and nonassociativity | 2017-07-17 | Paper |
| Quantum Bianchi identities and characteristic classes via DG categories | 2017-05-23 | Paper |
| Poisson-Riemannian geometry | 2017-02-23 | Paper |
| Noncommutative differentials on Poisson-Lie groups and pre-Lie algebras | 2016-08-29 | Paper |
| Duality for generalised differentials on quantum groups | 2015-08-05 | Paper |
| Quantization by cochain twists and nonassociative differentials | 2015-05-06 | Paper |
| Cosmological constant from quantum spacetime | 2014-12-06 | Paper |
| Emergence of wave equations from quantum geometry | 2014-06-03 | Paper |
| Quantum Groups and Braided Algebra | 2014-05-19 | Paper |
| Gravity induced from quantum spacetime | 2014-04-08 | Paper |
| Semiquantisation Functor and Poisson-Riemannian Geometry, I | 2014-03-17 | Paper |
| Lie theory and coverings of finite groups | 2014-03-07 | Paper |
| Noncommutative Riemannian geometry on graphs | 2013-12-20 | Paper |
| On braided zeta functions | 2012-12-03 | Paper |
| Strict quantum 2-groups | 2012-08-30 | Paper |
| Almost commutative Riemannian geometry: Wave operators | 2012-04-04 | Paper |
| Quantum spaces associated to multipermutation solutions of level two | 2012-01-13 | Paper |
| \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2\) and \(U_q(\mathrm{su}_2)\)] | 2012-01-13 | Paper |
| Newtonian gravity on quantum spacetime | 2011-09-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2994959 | 2011-04-29 | Paper |
| Bicrossproduct Hopf quasigroups | 2011-03-23 | Paper |
| *-compatible connections in noncommutative Riemannian geometry | 2011-01-14 | Paper |
| Scaling Limit of the Noncommutative Black Hole | 2010-09-27 | Paper |
| Hopf quasigroups and the algebraic 7-sphere | 2010-06-08 | Paper |
| q-deformation and semidualization in 3D quantum gravity | 2010-01-05 | Paper |
| Nonassociative Riemannian Geometry by Twisting | 2009-12-08 | Paper |
| Bar categories and star operations | 2009-09-01 | Paper |
| Quantisation of twistor theory by cocycle twist | 2009-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3529101 | 2008-10-20 | Paper |
| Matched pairs approach to set theoretic solutions of the Yang-Baxter equation. | 2008-04-16 | Paper |
| Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity | 2008-03-25 | Paper |
| Set-theoretic solutions of the Yang-Baxter equation, graphs and computations | 2008-01-16 | Paper |
| Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry. | 2007-07-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3447407 | 2007-06-28 | Paper |
| Gauge theory on nonassociative spaces | 2007-05-16 | Paper |
| Noncommutative model with spontaneous time generation and Planckian bound | 2007-05-16 | Paper |
| Semiclassical differential structures | 2007-02-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3376924 | 2006-03-27 | Paper |
| CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS | 2005-08-30 | Paper |
| Moduli of quantum Riemannian geometries on ⩽4 points | 2005-06-30 | Paper |
| Noncommutative Riemannian and spin geometry of the standard \(q\)-sphere | 2005-06-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4668174 | 2005-04-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4668175 | 2005-04-18 | Paper |
| Cartan calculus for quantum differentials on bicrossproducts | 2005-04-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4663755 | 2005-04-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4650797 | 2005-02-18 | Paper |
| On the Fock space for nonrelativistic anyon fields and braided tensor products | 2004-12-15 | Paper |
| Braided cyclic cocycles and nonassociative geometry | 2004-12-15 | Paper |
| Noncommutative geometry of angular momentum space U(su(2)) | 2004-12-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4451098 | 2004-02-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2704734 | 2003-11-30 | Paper |
| Noncommutative Ricci curvature and Dirac operator on \(\mathbb C_q[{\text SL}_2\) at roots of unity] | 2003-05-11 | Paper |
| Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras | 2003-05-04 | Paper |
| Braided Line and Counting Fixed Points ofGL(d, 𝔽q) | 2003-04-28 | Paper |
| Electromagnetism and gauge theory on the permutation group \(S_{3}\). | 2003-03-23 | Paper |
| \(\mathbb Z_2 \times \mathbb Z_2\) lattice as a Connes-Lott-quantum group model | 2002-08-28 | Paper |
| Clifford algebras obtained by twisting of group algebras | 2002-08-22 | Paper |
| Noncommutative cohomology and electromagnetism on \({\mathbb C}_q[SL_2\) at roots of unity] | 2002-08-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2784582 | 2002-04-23 | Paper |
| Riemannian geometry of quantum groups and finite groups with nonuniversal differentials | 2002-04-22 | Paper |
| QUANTUM RANDOM WALKS AND TIME REVERSAL | 2002-02-26 | Paper |
| Poisson-Lie \(T\)-duality for quasitriangular Lie bialgebras | 2002-01-27 | Paper |
| Double-bosonization of braided groups and the construction of Uq(g) | 2001-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2737722 | 2001-08-30 | Paper |
| Quantum groups and noncommutative geometry | 2001-08-30 | Paper |
| Quantum geometry of algebra factorisations and coalgebra bundles | 2001-08-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4762422 | 2001-05-01 | Paper |
| Matched pairs of Lie groups and Hopf algebra bicrossproducts | 2001-03-08 | Paper |
| WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS | 2001-02-11 | Paper |
| Classification of bicovariant differential calculi | 2001-01-14 | Paper |
| Quantum differentials and the \(q\)-monopole revisited | 2000-10-08 | Paper |
| Quasitriangular and differential structures on bicrossproduct Hopf algebras | 2000-08-14 | Paper |
| New quantum groups by double-bosonisation | 2000-08-14 | Paper |
| Some comments on bosonisation and biproducts | 2000-08-14 | Paper |
| Anyonic Lie algebras | 2000-08-14 | Paper |
| Some remarks on braided group reconstruction and braided doubles | 2000-08-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4494787 | 2000-08-08 | Paper |
| Quantum double for quasi-Hopf algebras | 2000-07-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4486778 | 2000-06-29 | Paper |
| Braided-Lie bialgebras | 2000-06-22 | Paper |
| Quasialgebra structure of the octonions | 2000-03-08 | Paper |
| Quantum and braided group Riemannian geometry | 2000-02-03 | Paper |
| Projective module description of the \(q\)-monopole | 2000-01-17 | Paper |
| Twisting of quantum differentials and the Planck scale Hopf algebra | 1999-12-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4249413 | 1999-11-24 | Paper |
| Quantum geometry of field extensions | 1999-11-21 | Paper |
| DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY | 1999-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4527112 | 1999-01-01 | Paper |
| Fermionic q-Fock space and braided geometry | 1998-12-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4356242 | 1998-06-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4343371 | 1998-03-19 | Paper |
| Coalgebra bundles | 1998-02-01 | Paper |
| Braided geometry of the conformal algebra | 1998-01-19 | Paper |
| Quantum and braided diffeomorphism groups | 1998-01-01 | Paper |
| Bicross-product structure of affine quantum groups | 1997-11-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4895214 | 1997-09-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4335140 | 1997-09-02 | Paper |
| Quasi-\(*\) structure on \(q\)-Poincaré algebras | 1997-07-20 | Paper |
| Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type | 1997-04-09 | Paper |
| SOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPS | 1997-02-24 | Paper |
| Nonstandard quantum groups and superization | 1997-02-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4872849 | 1996-09-25 | Paper |
| *-structures on braided spaces | 1996-09-03 | Paper |
| q-epsilon tensor for quantum and braided spaces | 1996-03-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4857364 | 1995-11-28 | Paper |
| Quantum and braided-Lie algebras | 1995-10-05 | Paper |
| Quantum group gauge theory on quantum spaces | 1995-07-31 | Paper |
| Algebraic q-integration and Fourier theory on quantum and braided spaces | 1995-07-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4315518 | 1995-05-18 | Paper |
| On the addition of quantum matrices | 1995-05-15 | Paper |
| q-Euclidean space and quantum Wick rotation by twisting | 1995-04-05 | Paper |
| Random walk and the heat equation on superspace and anyspace | 1995-03-12 | Paper |
| Erratum: Quantum group gauge theory on quantum spaces | 1995-03-02 | Paper |
| Cross products by braided groups and bosonization | 1995-02-28 | Paper |
| Free braided differential calculus, braided binomial theorem, and the braided exponential map | 1995-02-28 | Paper |
| Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group | 1995-01-22 | Paper |
| Bicrossproduct structure of the quantum Weyl group | 1994-12-05 | Paper |
| Duality Principle and Braided Geometry | 1994-09-10 | Paper |
| SPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATOR | 1994-09-08 | Paper |
| Braided groups and quantum Fourier transform | 1994-08-17 | Paper |
| Braided groups of Hopf algebras obtained by twisting | 1994-05-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3137161 | 1994-03-23 | Paper |
| The quantum double as quantum mechanics | 1994-03-22 | Paper |
| Transmutation theory and rank for quantum braided groups | 1994-02-21 | Paper |
| Braided Matrix Structure of $q$-Minkowski Space and $q$-Poincare Group | 1993-12-21 | Paper |
| Quantum and super-quantum group related to the Alexander-Conway polynomial | 1993-12-09 | Paper |
| Cross Product Quantisation, Nonabelian Cohomology And Twisting Of Hopf Algebras | 1993-11-30 | Paper |
| Braided momentum in the q-Poincaré group | 1993-09-06 | Paper |
| Quantum and braided linear algebra | 1993-09-06 | Paper |
| Braided groups | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4693947 | 1993-06-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5285803 | 1993-06-29 | Paper |
| A class of bicovariant differential calculi on Hopf algebras | 1993-04-20 | Paper |
| C-statistical quantum groups and Weyl algebras | 1993-04-01 | Paper |
| The braided Heisenberg group | 1993-01-01 | Paper |
| Rank of quantum groups and braided groups in dual form | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4010464 | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4010913 | 1992-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4012919 | 1992-09-27 | Paper |
| Braided groups and algebraic quantum field theories | 1992-06-28 | Paper |
| Doubles of quasitriangular hopf algebras | 1992-06-28 | Paper |
| Examples of braided groups and braided matrices | 1992-06-28 | Paper |
| ON q-REGULARIZATION | 1992-06-27 | Paper |
| CHERN-SIMONS THEORY, MODULAR FUNCTIONS AND QUANTUM MECHANICS IN AN ALCOVE | 1992-06-27 | Paper |
| Quasi-quantum groups as internal symmetries of topological quantum field theories | 1992-06-26 | Paper |
| Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the classical Yang-Baxter equations | 1992-06-25 | Paper |
| Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations | 1992-06-25 | Paper |
| Rank of quantized universal enveloping algebras and modular functions | 1991-01-01 | Paper |
| RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES | 1991-01-01 | Paper |
| Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction | 1990-01-01 | Paper |
| More examples of bicrossproduct and double cross product Hopf algebras | 1990-01-01 | Paper |
| Representation-theoretic rank and double hopf algebras | 1990-01-01 | Paper |
| Fourier transforms on 𝒜/𝒢 and knot invariants | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3488165 | 1990-01-01 | Paper |
| QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS | 1990-01-01 | Paper |
| Erratum: Liouville theorem for the Yang–Mills self-duality equations [J. Math. Phys. 2 9, 2303 (1988)] | 1989-01-01 | Paper |
| Partial waves for the linearized Yang–Mills equation about a monopole background | 1989-01-01 | Paper |
| Hopf algebras for physics at the Planck scale | 1988-01-01 | Paper |
| Liouville theorem for the Yang–Mills self-duality equations | 1988-01-01 | Paper |